Abstract

High harmonic production can be dramatically increased by utilizing an interaction region much longer than a coherence length. Counter-propagating light pulses can be used to disrupt the out-of-phase harmonic emission from selected zones in the focus so that the remaining emission builds constructively. Counter-propagating light creates a standing field modulation repeating over a half laser wavelength in which phase cancellations for harmonic emission occur. A simple power-law model is used to demonstrate how such pulses can be designed to counteract geometrical phase mismatches and improve emission for individual harmonics by more than two orders of magnitude.

© 1997 Optical Society of America

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  1. L’Huillier and Ph. Balcou, “High-Order harmonic Generation in Rare Gases with a 1-ps 1053nm Laser,” Phys. Rev. Lett. 70, 774 (1993).
    [CrossRef]
  2. Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, “Enhanced High-Harmonic Generation Using 25 Femtosecond Laser Pulses,” Phys. Rev. Lett. 76, 752 (1996).
    [CrossRef] [PubMed]
  3. Ditmire, K. Kulander, J. K. Crane, H. Nguyen, and M. D. Perry, “Calculation and Measurement of High-Order Harmonic Energy Yields in Helium,” J. Opt. Soc. of Am. B 13, 406.
  4. Peatross, J. Zhou, I. Christov, A. Rundquist, M. M. Murnane, and H. C. Kapteyn, “High-Order Harmonic Generation with a 25 Femtosecond Laser Pulse,” in Proceedings of the NATO Advanced Research Workshop on Super Intense Laser-Atom Physics IV (Moscow, Russia1995) p. 455.
  5. V. T. Platonenko, V. V. Strelkov, G. Ferrante, V. Miceli, and E. Fiordilino, “Control of the Spectral Width and Pulse Duration of a Single High-Order Harmonic,” Laser Phys. 6, p. 1164–1167 (1996).
  6. Fiordilino and V. Miceli, “Laser Pulse Shape Effects in Harmonic Generation from a Two-Level Atom,” J. Mod. Opt. 41, 1415–1426 (1994).
    [CrossRef]
  7. Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
    [CrossRef] [PubMed]
  8. L’Huillier, K. J. Schafer, and K. C. Kulander, “Theoretical Aspects of Intense Field Harmonic Generation,” J. Phys. B: At. Mol. Opt. Phys. 24, 3315 (1991).
    [CrossRef]
  9. L’Huillier, Ph. Balcou, S. Candel, K. J. Schafer, and K. C. Kulander, “Calculations of High-Order Harmonic-Generation Processes in Xenon at 1064 nm,” Phys. Rev. A 46, 2778–2790 (1992).
    [CrossRef]
  10. Ph. Balcou and A. L’Huillier, “Phase-Matching Effects in Strong-Field Harmonic Generation,” Phys. Rev. A 47, 1447–1459 (1993).
    [CrossRef] [PubMed]
  11. Peatross and D. D. Meyerhofer, “The Angular Distribution of High-Order Harmonics Emitted from Rare Gases at Low Density,” Phys. Rev. A 51, R906 (1995).
    [CrossRef] [PubMed]
  12. Peatross and D. D. Meyerhofer, “Intensity-Dependent Phase Effects in High-Order Harmonic Generation,” Phys. Rev. A 52, 3976–3987 (1995).
    [CrossRef] [PubMed]
  13. Peatross, M. V. Fedorov, and K. C. Kulander, “Intensity-Dependent Phase-Matching Effects in Harmonic Generation,” J. Opt. Soc. Am. B 12,863 (1995).
    [CrossRef]
  14. Salieres, A. L’Huillier, and M. Lewenstein, “Coherence Control of High-Order Harmonics,” Phys. Rev. Lett. 74, 3776 (1995).
    [CrossRef] [PubMed]
  15. Wahlstrom, J. Larsson, A. Persson, T. Starczewski, and S. Svanberg, “High-Order Harmonic Generation in Rare Gases with an Intense Short-Pulse Laser,” Phys. Rev. A. 48, 4709 (1993).
    [CrossRef] [PubMed]
  16. Altucci, T. Starczewski, E. Mevel, C.-G. Wahlstrom, B. Carre, and A. L’Huillier, “Influence of Atomic Density in High-Order Harmonic Generation,” J. Opt. Soc. Am. B 13, 148 (1996).
    [CrossRef]
  17. Lynga, A. L’Huillier, and C.-G. Wahlstrom, “High-Order Harmonic Generation in Molecular Gases,” J. Phys. B 29, 3293 (1996).
    [CrossRef]
  18. T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.
  19. Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-Order Harmonic Generation in Laser-Produced Ions Using a Near-Infrared Laser,” Phys. Rev. A 51, 585 (1995).
    [CrossRef] [PubMed]
  20. Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
    [CrossRef] [PubMed]
  21. H. M. Milchberg, C. G. Durfee, and T. J. McIlrath, “High-Order Frequency Conversion in the Plasma Waveguide,” Phys. Rev. Lett. 75, 2494 (1995).
    [CrossRef] [PubMed]
  22. Shkolnikov, A. E. Kaplan, and A. Lago, “Phase-Matching Optimization of Large-Scale Nonlinear Frequency Upconversion in Neutral and Ionized Gases,” J. Opt. Soc. Am. B 13, 412 (1996).
    [CrossRef]
  23. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
    [CrossRef]
  24. Birulin, V. T. Platonenko, and V. V. Strelkov, “High-Harmonic Generation in Interfering Waves,” JETP 83, 33 (1996).
  25. Peatross, J. Chaloupka, and D. D. Meyerhofer, “High-Order Harmonic Generation with an Annular Laser Beam,” Opt. Lett. 19, 942 (1994).
    [CrossRef] [PubMed]

1996 (7)

Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, “Enhanced High-Harmonic Generation Using 25 Femtosecond Laser Pulses,” Phys. Rev. Lett. 76, 752 (1996).
[CrossRef] [PubMed]

V. T. Platonenko, V. V. Strelkov, G. Ferrante, V. Miceli, and E. Fiordilino, “Control of the Spectral Width and Pulse Duration of a Single High-Order Harmonic,” Laser Phys. 6, p. 1164–1167 (1996).

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Lynga, A. L’Huillier, and C.-G. Wahlstrom, “High-Order Harmonic Generation in Molecular Gases,” J. Phys. B 29, 3293 (1996).
[CrossRef]

Birulin, V. T. Platonenko, and V. V. Strelkov, “High-Harmonic Generation in Interfering Waves,” JETP 83, 33 (1996).

Altucci, T. Starczewski, E. Mevel, C.-G. Wahlstrom, B. Carre, and A. L’Huillier, “Influence of Atomic Density in High-Order Harmonic Generation,” J. Opt. Soc. Am. B 13, 148 (1996).
[CrossRef]

Shkolnikov, A. E. Kaplan, and A. Lago, “Phase-Matching Optimization of Large-Scale Nonlinear Frequency Upconversion in Neutral and Ionized Gases,” J. Opt. Soc. Am. B 13, 412 (1996).
[CrossRef]

1995 (7)

Peatross, M. V. Fedorov, and K. C. Kulander, “Intensity-Dependent Phase-Matching Effects in Harmonic Generation,” J. Opt. Soc. Am. B 12,863 (1995).
[CrossRef]

Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-Order Harmonic Generation in Laser-Produced Ions Using a Near-Infrared Laser,” Phys. Rev. A 51, 585 (1995).
[CrossRef] [PubMed]

H. M. Milchberg, C. G. Durfee, and T. J. McIlrath, “High-Order Frequency Conversion in the Plasma Waveguide,” Phys. Rev. Lett. 75, 2494 (1995).
[CrossRef] [PubMed]

Salieres, A. L’Huillier, and M. Lewenstein, “Coherence Control of High-Order Harmonics,” Phys. Rev. Lett. 74, 3776 (1995).
[CrossRef] [PubMed]

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Peatross and D. D. Meyerhofer, “The Angular Distribution of High-Order Harmonics Emitted from Rare Gases at Low Density,” Phys. Rev. A 51, R906 (1995).
[CrossRef] [PubMed]

Peatross and D. D. Meyerhofer, “Intensity-Dependent Phase Effects in High-Order Harmonic Generation,” Phys. Rev. A 52, 3976–3987 (1995).
[CrossRef] [PubMed]

1994 (2)

Fiordilino and V. Miceli, “Laser Pulse Shape Effects in Harmonic Generation from a Two-Level Atom,” J. Mod. Opt. 41, 1415–1426 (1994).
[CrossRef]

Peatross, J. Chaloupka, and D. D. Meyerhofer, “High-Order Harmonic Generation with an Annular Laser Beam,” Opt. Lett. 19, 942 (1994).
[CrossRef] [PubMed]

1993 (3)

Wahlstrom, J. Larsson, A. Persson, T. Starczewski, and S. Svanberg, “High-Order Harmonic Generation in Rare Gases with an Intense Short-Pulse Laser,” Phys. Rev. A. 48, 4709 (1993).
[CrossRef] [PubMed]

L’Huillier and Ph. Balcou, “High-Order harmonic Generation in Rare Gases with a 1-ps 1053nm Laser,” Phys. Rev. Lett. 70, 774 (1993).
[CrossRef]

Ph. Balcou and A. L’Huillier, “Phase-Matching Effects in Strong-Field Harmonic Generation,” Phys. Rev. A 47, 1447–1459 (1993).
[CrossRef] [PubMed]

1992 (1)

L’Huillier, Ph. Balcou, S. Candel, K. J. Schafer, and K. C. Kulander, “Calculations of High-Order Harmonic-Generation Processes in Xenon at 1064 nm,” Phys. Rev. A 46, 2778–2790 (1992).
[CrossRef]

1991 (1)

L’Huillier, K. J. Schafer, and K. C. Kulander, “Theoretical Aspects of Intense Field Harmonic Generation,” J. Phys. B: At. Mol. Opt. Phys. 24, 3315 (1991).
[CrossRef]

1962 (1)

Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Altucci,

Armstrong,

Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Bakarezos, M.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Balcou, Ph.

Ph. Balcou and A. L’Huillier, “Phase-Matching Effects in Strong-Field Harmonic Generation,” Phys. Rev. A 47, 1447–1459 (1993).
[CrossRef] [PubMed]

L’Huillier and Ph. Balcou, “High-Order harmonic Generation in Rare Gases with a 1-ps 1053nm Laser,” Phys. Rev. Lett. 70, 774 (1993).
[CrossRef]

L’Huillier, Ph. Balcou, S. Candel, K. J. Schafer, and K. C. Kulander, “Calculations of High-Order Harmonic-Generation Processes in Xenon at 1064 nm,” Phys. Rev. A 46, 2778–2790 (1992).
[CrossRef]

Birulin,

Birulin, V. T. Platonenko, and V. V. Strelkov, “High-Harmonic Generation in Interfering Waves,” JETP 83, 33 (1996).

Bloembergen, N.

Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Borgstrom, S.

Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-Order Harmonic Generation in Laser-Produced Ions Using a Near-Infrared Laser,” Phys. Rev. A 51, 585 (1995).
[CrossRef] [PubMed]

Candel, S.

L’Huillier, Ph. Balcou, S. Candel, K. J. Schafer, and K. C. Kulander, “Calculations of High-Order Harmonic-Generation Processes in Xenon at 1064 nm,” Phys. Rev. A 46, 2778–2790 (1992).
[CrossRef]

Carre, B.

Chaloupka, J.

Che, Jianwei

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Christov, I.

Peatross, J. Zhou, I. Christov, A. Rundquist, M. M. Murnane, and H. C. Kapteyn, “High-Order Harmonic Generation with a 25 Femtosecond Laser Pulse,” in Proceedings of the NATO Advanced Research Workshop on Super Intense Laser-Atom Physics IV (Moscow, Russia1995) p. 455.

Christov, I. P.

Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, “Enhanced High-Harmonic Generation Using 25 Femtosecond Laser Pulses,” Phys. Rev. Lett. 76, 752 (1996).
[CrossRef] [PubMed]

Crane, J. K.

Ditmire, K. Kulander, J. K. Crane, H. Nguyen, and M. D. Perry, “Calculation and Measurement of High-Order Harmonic Energy Yields in Helium,” J. Opt. Soc. of Am. B 13, 406.

Dangor, A. E.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Danson, C. N.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Ditmire,

Ditmire, K. Kulander, J. K. Crane, H. Nguyen, and M. D. Perry, “Calculation and Measurement of High-Order Harmonic Energy Yields in Helium,” J. Opt. Soc. of Am. B 13, 406.

Ditmire, T.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

Donnelly, T.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

Ducuing, J.

Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Durfee, C. G.

H. M. Milchberg, C. G. Durfee, and T. J. McIlrath, “High-Order Frequency Conversion in the Plasma Waveguide,” Phys. Rev. Lett. 75, 2494 (1995).
[CrossRef] [PubMed]

Dyson, A.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Falcone, R. W.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

Fedorov, M. V.

Ferrante, G.

V. T. Platonenko, V. V. Strelkov, G. Ferrante, V. Miceli, and E. Fiordilino, “Control of the Spectral Width and Pulse Duration of a Single High-Order Harmonic,” Laser Phys. 6, p. 1164–1167 (1996).

Fews, A. P.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Fiordilino,

Fiordilino and V. Miceli, “Laser Pulse Shape Effects in Harmonic Generation from a Two-Level Atom,” J. Mod. Opt. 41, 1415–1426 (1994).
[CrossRef]

Fiordilino, E.

V. T. Platonenko, V. V. Strelkov, G. Ferrante, V. Miceli, and E. Fiordilino, “Control of the Spectral Width and Pulse Duration of a Single High-Order Harmonic,” Laser Phys. 6, p. 1164–1167 (1996).

Fraser, D. J.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

Gibbon, P.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Hay, N.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

Hutchinson, M. H. R.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

Kaplan, A. E.

Kapteyn, H. C.

Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, “Enhanced High-Harmonic Generation Using 25 Femtosecond Laser Pulses,” Phys. Rev. Lett. 76, 752 (1996).
[CrossRef] [PubMed]

Peatross, J. Zhou, I. Christov, A. Rundquist, M. M. Murnane, and H. C. Kapteyn, “High-Order Harmonic Generation with a 25 Femtosecond Laser Pulse,” in Proceedings of the NATO Advanced Research Workshop on Super Intense Laser-Atom Physics IV (Moscow, Russia1995) p. 455.

Kohler,

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Krause, J. L.

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Kulander, K.

Ditmire, K. Kulander, J. K. Crane, H. Nguyen, and M. D. Perry, “Calculation and Measurement of High-Order Harmonic Energy Yields in Helium,” J. Opt. Soc. of Am. B 13, 406.

Kulander, K. C.

Peatross, M. V. Fedorov, and K. C. Kulander, “Intensity-Dependent Phase-Matching Effects in Harmonic Generation,” J. Opt. Soc. Am. B 12,863 (1995).
[CrossRef]

L’Huillier, Ph. Balcou, S. Candel, K. J. Schafer, and K. C. Kulander, “Calculations of High-Order Harmonic-Generation Processes in Xenon at 1064 nm,” Phys. Rev. A 46, 2778–2790 (1992).
[CrossRef]

L’Huillier, K. J. Schafer, and K. C. Kulander, “Theoretical Aspects of Intense Field Harmonic Generation,” J. Phys. B: At. Mol. Opt. Phys. 24, 3315 (1991).
[CrossRef]

L’Huillier,

L’Huillier and Ph. Balcou, “High-Order harmonic Generation in Rare Gases with a 1-ps 1053nm Laser,” Phys. Rev. Lett. 70, 774 (1993).
[CrossRef]

L’Huillier, Ph. Balcou, S. Candel, K. J. Schafer, and K. C. Kulander, “Calculations of High-Order Harmonic-Generation Processes in Xenon at 1064 nm,” Phys. Rev. A 46, 2778–2790 (1992).
[CrossRef]

L’Huillier, K. J. Schafer, and K. C. Kulander, “Theoretical Aspects of Intense Field Harmonic Generation,” J. Phys. B: At. Mol. Opt. Phys. 24, 3315 (1991).
[CrossRef]

L’Huillier, A.

Lynga, A. L’Huillier, and C.-G. Wahlstrom, “High-Order Harmonic Generation in Molecular Gases,” J. Phys. B 29, 3293 (1996).
[CrossRef]

Altucci, T. Starczewski, E. Mevel, C.-G. Wahlstrom, B. Carre, and A. L’Huillier, “Influence of Atomic Density in High-Order Harmonic Generation,” J. Opt. Soc. Am. B 13, 148 (1996).
[CrossRef]

Salieres, A. L’Huillier, and M. Lewenstein, “Coherence Control of High-Order Harmonics,” Phys. Rev. Lett. 74, 3776 (1995).
[CrossRef] [PubMed]

Ph. Balcou and A. L’Huillier, “Phase-Matching Effects in Strong-Field Harmonic Generation,” Phys. Rev. A 47, 1447–1459 (1993).
[CrossRef] [PubMed]

Lago, A.

Larsson, J.

Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-Order Harmonic Generation in Laser-Produced Ions Using a Near-Infrared Laser,” Phys. Rev. A 51, 585 (1995).
[CrossRef] [PubMed]

Wahlstrom, J. Larsson, A. Persson, T. Starczewski, and S. Svanberg, “High-Order Harmonic Generation in Rare Gases with an Intense Short-Pulse Laser,” Phys. Rev. A. 48, 4709 (1993).
[CrossRef] [PubMed]

Lee, P.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Lewenstein, M.

Salieres, A. L’Huillier, and M. Lewenstein, “Coherence Control of High-Order Harmonics,” Phys. Rev. Lett. 74, 3776 (1995).
[CrossRef] [PubMed]

Loukakos, P.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Lynga,

Lynga, A. L’Huillier, and C.-G. Wahlstrom, “High-Order Harmonic Generation in Molecular Gases,” J. Phys. B 29, 3293 (1996).
[CrossRef]

Marangos, J. P.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

McIlrath, T. J.

H. M. Milchberg, C. G. Durfee, and T. J. McIlrath, “High-Order Frequency Conversion in the Plasma Waveguide,” Phys. Rev. Lett. 75, 2494 (1995).
[CrossRef] [PubMed]

Messina, M.

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Mevel, E.

Meyerhofer, D. D.

Peatross and D. D. Meyerhofer, “Intensity-Dependent Phase Effects in High-Order Harmonic Generation,” Phys. Rev. A 52, 3976–3987 (1995).
[CrossRef] [PubMed]

Peatross and D. D. Meyerhofer, “The Angular Distribution of High-Order Harmonics Emitted from Rare Gases at Low Density,” Phys. Rev. A 51, R906 (1995).
[CrossRef] [PubMed]

Peatross, J. Chaloupka, and D. D. Meyerhofer, “High-Order Harmonic Generation with an Annular Laser Beam,” Opt. Lett. 19, 942 (1994).
[CrossRef] [PubMed]

Miceli, V.

V. T. Platonenko, V. V. Strelkov, G. Ferrante, V. Miceli, and E. Fiordilino, “Control of the Spectral Width and Pulse Duration of a Single High-Order Harmonic,” Laser Phys. 6, p. 1164–1167 (1996).

Fiordilino and V. Miceli, “Laser Pulse Shape Effects in Harmonic Generation from a Two-Level Atom,” J. Mod. Opt. 41, 1415–1426 (1994).
[CrossRef]

Milchberg, H. M.

H. M. Milchberg, C. G. Durfee, and T. J. McIlrath, “High-Order Frequency Conversion in the Plasma Waveguide,” Phys. Rev. Lett. 75, 2494 (1995).
[CrossRef] [PubMed]

Moustaizis, S.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Murnane, M. M.

Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, “Enhanced High-Harmonic Generation Using 25 Femtosecond Laser Pulses,” Phys. Rev. Lett. 76, 752 (1996).
[CrossRef] [PubMed]

Peatross, J. Zhou, I. Christov, A. Rundquist, M. M. Murnane, and H. C. Kapteyn, “High-Order Harmonic Generation with a 25 Femtosecond Laser Pulse,” in Proceedings of the NATO Advanced Research Workshop on Super Intense Laser-Atom Physics IV (Moscow, Russia1995) p. 455.

Neely, D.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Nguyen, H.

Ditmire, K. Kulander, J. K. Crane, H. Nguyen, and M. D. Perry, “Calculation and Measurement of High-Order Harmonic Energy Yields in Helium,” J. Opt. Soc. of Am. B 13, 406.

Norreys,

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Peatross,

Peatross, M. V. Fedorov, and K. C. Kulander, “Intensity-Dependent Phase-Matching Effects in Harmonic Generation,” J. Opt. Soc. Am. B 12,863 (1995).
[CrossRef]

Peatross and D. D. Meyerhofer, “Intensity-Dependent Phase Effects in High-Order Harmonic Generation,” Phys. Rev. A 52, 3976–3987 (1995).
[CrossRef] [PubMed]

Peatross and D. D. Meyerhofer, “The Angular Distribution of High-Order Harmonics Emitted from Rare Gases at Low Density,” Phys. Rev. A 51, R906 (1995).
[CrossRef] [PubMed]

Peatross, J. Chaloupka, and D. D. Meyerhofer, “High-Order Harmonic Generation with an Annular Laser Beam,” Opt. Lett. 19, 942 (1994).
[CrossRef] [PubMed]

Peatross, J. Zhou, I. Christov, A. Rundquist, M. M. Murnane, and H. C. Kapteyn, “High-Order Harmonic Generation with a 25 Femtosecond Laser Pulse,” in Proceedings of the NATO Advanced Research Workshop on Super Intense Laser-Atom Physics IV (Moscow, Russia1995) p. 455.

Peatross, J.

Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, “Enhanced High-Harmonic Generation Using 25 Femtosecond Laser Pulses,” Phys. Rev. Lett. 76, 752 (1996).
[CrossRef] [PubMed]

Perry, M. D.

Ditmire, K. Kulander, J. K. Crane, H. Nguyen, and M. D. Perry, “Calculation and Measurement of High-Order Harmonic Energy Yields in Helium,” J. Opt. Soc. of Am. B 13, 406.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

Pershan, P. S.

Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Persson, A.

Wahlstrom, J. Larsson, A. Persson, T. Starczewski, and S. Svanberg, “High-Order Harmonic Generation in Rare Gases with an Intense Short-Pulse Laser,” Phys. Rev. A. 48, 4709 (1993).
[CrossRef] [PubMed]

Pettersson, S.-G.

Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-Order Harmonic Generation in Laser-Produced Ions Using a Near-Infrared Laser,” Phys. Rev. A 51, 585 (1995).
[CrossRef] [PubMed]

Platonenko, V. T.

V. T. Platonenko, V. V. Strelkov, G. Ferrante, V. Miceli, and E. Fiordilino, “Control of the Spectral Width and Pulse Duration of a Single High-Order Harmonic,” Laser Phys. 6, p. 1164–1167 (1996).

Birulin, V. T. Platonenko, and V. V. Strelkov, “High-Harmonic Generation in Interfering Waves,” JETP 83, 33 (1996).

Rundquist, A.

Peatross, J. Zhou, I. Christov, A. Rundquist, M. M. Murnane, and H. C. Kapteyn, “High-Order Harmonic Generation with a 25 Femtosecond Laser Pulse,” in Proceedings of the NATO Advanced Research Workshop on Super Intense Laser-Atom Physics IV (Moscow, Russia1995) p. 455.

Salieres,

Salieres, A. L’Huillier, and M. Lewenstein, “Coherence Control of High-Order Harmonics,” Phys. Rev. Lett. 74, 3776 (1995).
[CrossRef] [PubMed]

Schafer, K. J.

L’Huillier, Ph. Balcou, S. Candel, K. J. Schafer, and K. C. Kulander, “Calculations of High-Order Harmonic-Generation Processes in Xenon at 1064 nm,” Phys. Rev. A 46, 2778–2790 (1992).
[CrossRef]

L’Huillier, K. J. Schafer, and K. C. Kulander, “Theoretical Aspects of Intense Field Harmonic Generation,” J. Phys. B: At. Mol. Opt. Phys. 24, 3315 (1991).
[CrossRef]

Schwentner, N.

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Shkolnikov,

Starczewski, T.

Altucci, T. Starczewski, E. Mevel, C.-G. Wahlstrom, B. Carre, and A. L’Huillier, “Influence of Atomic Density in High-Order Harmonic Generation,” J. Opt. Soc. Am. B 13, 148 (1996).
[CrossRef]

Wahlstrom, J. Larsson, A. Persson, T. Starczewski, and S. Svanberg, “High-Order Harmonic Generation in Rare Gases with an Intense Short-Pulse Laser,” Phys. Rev. A. 48, 4709 (1993).
[CrossRef] [PubMed]

Strelkov, V. V.

Birulin, V. T. Platonenko, and V. V. Strelkov, “High-Harmonic Generation in Interfering Waves,” JETP 83, 33 (1996).

V. T. Platonenko, V. V. Strelkov, G. Ferrante, V. Miceli, and E. Fiordilino, “Control of the Spectral Width and Pulse Duration of a Single High-Order Harmonic,” Laser Phys. 6, p. 1164–1167 (1996).

Svanberg, S.

Wahlstrom, J. Larsson, A. Persson, T. Starczewski, and S. Svanberg, “High-Order Harmonic Generation in Rare Gases with an Intense Short-Pulse Laser,” Phys. Rev. A. 48, 4709 (1993).
[CrossRef] [PubMed]

Tisch, J. W. G.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

Wahlstrom,

Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-Order Harmonic Generation in Laser-Produced Ions Using a Near-Infrared Laser,” Phys. Rev. A 51, 585 (1995).
[CrossRef] [PubMed]

Wahlstrom, J. Larsson, A. Persson, T. Starczewski, and S. Svanberg, “High-Order Harmonic Generation in Rare Gases with an Intense Short-Pulse Laser,” Phys. Rev. A. 48, 4709 (1993).
[CrossRef] [PubMed]

Wahlstrom, C.-G.

Walsh, F. N.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Wark, J. S.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Whitnell, R. M.

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Wilson, K. R.

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Yakovlev, V. V.

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Yan, Yijing

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

Zepf, M.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Zhang, J.

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

Zhou,

Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, “Enhanced High-Harmonic Generation Using 25 Femtosecond Laser Pulses,” Phys. Rev. Lett. 76, 752 (1996).
[CrossRef] [PubMed]

Zhou, J.

Peatross, J. Zhou, I. Christov, A. Rundquist, M. M. Murnane, and H. C. Kapteyn, “High-Order Harmonic Generation with a 25 Femtosecond Laser Pulse,” in Proceedings of the NATO Advanced Research Workshop on Super Intense Laser-Atom Physics IV (Moscow, Russia1995) p. 455.

J. Mod. Opt. (1)

Fiordilino and V. Miceli, “Laser Pulse Shape Effects in Harmonic Generation from a Two-Level Atom,” J. Mod. Opt. 41, 1415–1426 (1994).
[CrossRef]

J. Opt. Soc. Am. B (3)

J. Opt. Soc. of Am. B (1)

Ditmire, K. Kulander, J. K. Crane, H. Nguyen, and M. D. Perry, “Calculation and Measurement of High-Order Harmonic Energy Yields in Helium,” J. Opt. Soc. of Am. B 13, 406.

J. Phys. B (1)

Lynga, A. L’Huillier, and C.-G. Wahlstrom, “High-Order Harmonic Generation in Molecular Gases,” J. Phys. B 29, 3293 (1996).
[CrossRef]

J. Phys. B: At. Mol. Opt. Phys. (1)

L’Huillier, K. J. Schafer, and K. C. Kulander, “Theoretical Aspects of Intense Field Harmonic Generation,” J. Phys. B: At. Mol. Opt. Phys. 24, 3315 (1991).
[CrossRef]

JETP (1)

Birulin, V. T. Platonenko, and V. V. Strelkov, “High-Harmonic Generation in Interfering Waves,” JETP 83, 33 (1996).

Laser Phys. (1)

V. T. Platonenko, V. V. Strelkov, G. Ferrante, V. Miceli, and E. Fiordilino, “Control of the Spectral Width and Pulse Duration of a Single High-Order Harmonic,” Laser Phys. 6, p. 1164–1167 (1996).

Opt. Lett. (1)

Phys. Rev. (1)

Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Phys. Rev. A (5)

Wahlstrom, S. Borgstrom, J. Larsson, and S.-G. Pettersson, “High-Order Harmonic Generation in Laser-Produced Ions Using a Near-Infrared Laser,” Phys. Rev. A 51, 585 (1995).
[CrossRef] [PubMed]

L’Huillier, Ph. Balcou, S. Candel, K. J. Schafer, and K. C. Kulander, “Calculations of High-Order Harmonic-Generation Processes in Xenon at 1064 nm,” Phys. Rev. A 46, 2778–2790 (1992).
[CrossRef]

Ph. Balcou and A. L’Huillier, “Phase-Matching Effects in Strong-Field Harmonic Generation,” Phys. Rev. A 47, 1447–1459 (1993).
[CrossRef] [PubMed]

Peatross and D. D. Meyerhofer, “The Angular Distribution of High-Order Harmonics Emitted from Rare Gases at Low Density,” Phys. Rev. A 51, R906 (1995).
[CrossRef] [PubMed]

Peatross and D. D. Meyerhofer, “Intensity-Dependent Phase Effects in High-Order Harmonic Generation,” Phys. Rev. A 52, 3976–3987 (1995).
[CrossRef] [PubMed]

Phys. Rev. A. (1)

Wahlstrom, J. Larsson, A. Persson, T. Starczewski, and S. Svanberg, “High-Order Harmonic Generation in Rare Gases with an Intense Short-Pulse Laser,” Phys. Rev. A. 48, 4709 (1993).
[CrossRef] [PubMed]

Phys. Rev. Lett. (6)

Salieres, A. L’Huillier, and M. Lewenstein, “Coherence Control of High-Order Harmonics,” Phys. Rev. Lett. 74, 3776 (1995).
[CrossRef] [PubMed]

Kohler, V. V. Yakovlev, Jianwei Che, J. L. Krause, M. Messina, K. R. Wilson, N. Schwentner, R. M. Whitnell, and Yijing Yan, “Quantum Control of Wave Packet Evolution with Tailored Femtosecond Pulses,” Phys. Rev. Lett. 74, 3360–3363 (1995).
[CrossRef] [PubMed]

L’Huillier and Ph. Balcou, “High-Order harmonic Generation in Rare Gases with a 1-ps 1053nm Laser,” Phys. Rev. Lett. 70, 774 (1993).
[CrossRef]

Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, “Enhanced High-Harmonic Generation Using 25 Femtosecond Laser Pulses,” Phys. Rev. Lett. 76, 752 (1996).
[CrossRef] [PubMed]

Norreys, M. Zepf, S. Moustaizis, A. P. Fews, J. Zhang, P. Lee, M. Bakarezos, C. N. Danson, A. Dyson, P. Gibbon, P. Loukakos, D. Neely, F. N. Walsh, J. S. Wark, and A. E. Dangor, “Efficient Extreme UV Harmonics Generated from Picosecond Laser Pulse Interactions with Solid Targets,” Phys. Rev. Lett. 76, 1832 (1996).
[CrossRef] [PubMed]

H. M. Milchberg, C. G. Durfee, and T. J. McIlrath, “High-Order Frequency Conversion in the Plasma Waveguide,” Phys. Rev. Lett. 75, 2494 (1995).
[CrossRef] [PubMed]

Other (2)

Peatross, J. Zhou, I. Christov, A. Rundquist, M. M. Murnane, and H. C. Kapteyn, “High-Order Harmonic Generation with a 25 Femtosecond Laser Pulse,” in Proceedings of the NATO Advanced Research Workshop on Super Intense Laser-Atom Physics IV (Moscow, Russia1995) p. 455.

T. Ditmire, J. W. G. Tisch, D. J. Fraser, J. P. Marangos, N. Hay, M. H. R. Hutchinson, T. Donnelly, R. W. Falcone, and M. D. Perry, “High-Order Harmonic Generation in Large Molecules and Atomic Clusters,” in Conference on Lasers and Electro-Optics, Vol. 9 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, DC, 1996) p. 544.

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Figures (6)

Fig. 1.
Fig. 1.

A mirror with a hole is used to extract high-order harmonics generated in counter-propagating laser beams.

Fig. 2.
Fig. 2.

Standing intensity and phase variations resulting when a plane wave is met by a counter-propagating plane wave one hundredth as intense.

Fig. 3.
Fig. 3.

The effective emission from a microscopic phase-matching interval for the 11th, 31st, and 51st harmonics as a function of relative counter-propagating field strength. The calculation assumes that harmonic emission follows a power law with p=5.

Fig. 4.
Fig. 4.

(a) Amplitude and phase of the 51st harmonic field arriving simultaneously in the center of a distant screen as a function of emission position (normalized by the Rayleigh range). The graph shows the field contributions associated with a particular point on the pulse temporal envelope as it travels through the focus. The net field for that instant is found by summing the contributions as in Eq. (8). (b) Real part of the field

Fig. 5.
Fig. 5.

(a) The relative intensity of counter-propagating pulses tailored to improve emission for the 51st harmonic. (b) The real part of the 51st harmonic field components at the center of a distant screen in the presence of counter-propagating pulses. The graph shows the field contributions associated with a particular point on the pulse temporal envelope as it travels through the focus (position normalized to the Rayleigh range). The net field for that instant is found by summing the contributions as in Eq. (8). Compare with Fig. 4(b).

Fig. 6.
Fig. 6.

(a) Relative intensity of the 51st harmonic at a distant screen as a function of angle, in the presence of the counter-propagating field (blue), in the absence of the counter-propagating field (green), in the absence of the counter-propagating field but with the gas restricted to a coherence length at the focal center (red). The laser profile is depicted for angular comparison (light blue). (b) The same figure shown with a linear scale.

Equations (10)

Equations on this page are rendered with MathJax. Learn more.

E 1 e i ( kz ωt ) + E 2 e i ( kz + ωt ) = E t ( z ) e i ( kz ωt + ϕ ( z ) ) .
E t ( z ) = E 1 1 + ( E 2 E 1 ) 2 + 2 E 2 E 1 cos 2 kz ,
ϕ ( z ) = tan 1 E 2 E 1 sin 2 kz 1 + E 2 E 1 cos 2 kz .
V = I max I min I max + I min = 2 E 2 E 1 1 ( E 2 + E 1 ) 2 .
E q z t ~ E t p ( z ) e qi ( kz ωt + ϕ ( z ) ) .
λ 2 0 E q ( z , t + z c ) dz ~ e iqωt λ 2 0 E t p ( z ) e qiϕ ( z ) dz .
ξ = 2 λE 1 p λ 2 0 E t p ( z ) e qiϕ ( z ) dz .
E q θ T ~ E 1 p ( T ) dz N ( z ) ξ T z ηe q 2 η 2 p ( 2 f # θ ) 2 ( 1 + z 2 z o 2 ) ( p 1 ) 2 e iq tan 1 z z o + i tan 1 qz pz o + iq ( 2 f # θ ) 2 [ 1 q 2 η 2 p 2 ] z z o
z o z o = 1 + z 2 z o 2 .
Power ~ E q θ T 2 θdθ .

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